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Finding the Fourth Proportional to 470,209.80, 705,314.70 and 338,333.70

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Solution

The fourth proportional to 470,209.80, 705,314.70 and 338,333.70 is: 507,500.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,209.80 : 705,314.70 = 338,333.70 : x
  2. Step 2: Convert to fraction form
    470,209.80/705,314.70 = 338,333.70/x
  3. Step 3: Cross multiply
    470,209.80x = 705,314.70 × 338,333.70
  4. Step 4: Simplify right side
    470,209.80x = 238,631,732,115.39
  5. Step 5: Solve for x
    x = 238,631,732,115.39/470,209.80
  6. Step 6: Final answer
    x = 507,500.55

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Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.